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Finding the Fourth Proportional to 501,273.79, 691,694.10 and 286,427.77

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Solution

The fourth proportional to 501,273.79, 691,694.10 and 286,427.77 is: 395,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,273.79 : 691,694.10 = 286,427.77 : x
  2. Step 2: Convert to fraction form
    501,273.79/691,694.10 = 286,427.77/x
  3. Step 3: Cross multiply
    501,273.79x = 691,694.10 × 286,427.77
  4. Step 4: Simplify right side
    501,273.79x = 198,120,396,855.92
  5. Step 5: Solve for x
    x = 198,120,396,855.92/501,273.79
  6. Step 6: Final answer
    x = 395,233.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.